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Author: Caleb Gattegno Publisher: Educational Solutions World ISBN: 0878252207 Category : Education Languages : en Pages : 208
Book Description
"Since knowing produces knowledge, and not the other way around, this book shows how everyone can be a producer rather than a consumer of mathematical knowledge. Mathematics can be owned as a means of mathematizing the universe, just as the power of verbalizing molds itself to all the manifold demands of experience." C. Gattegno
Author: Caleb Gattegno Publisher: Educational Solutions World ISBN: 0878252207 Category : Education Languages : en Pages : 208
Book Description
"Since knowing produces knowledge, and not the other way around, this book shows how everyone can be a producer rather than a consumer of mathematical knowledge. Mathematics can be owned as a means of mathematizing the universe, just as the power of verbalizing molds itself to all the manifold demands of experience." C. Gattegno
Author: Ethan D. Bolker Publisher: American Mathematical Soc. ISBN: 147046134X Category : Education Languages : en Pages : 342
Book Description
Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.
Author: Kevin K. Kumashiro Publisher: Routledge ISBN: 1135198055 Category : Education Languages : en Pages : 164
Book Description
Drawing on his own experience teaching diverse grades and subjects, Kevin Kumashiro examines aspects of teaching and learning toward social justice, and suggests concrete implications for K-12 teachers and teacher educators.
Author: Bill Hanlon Publisher: R&L Education ISBN: 1475800703 Category : Education Languages : en Pages : 166
Book Description
In Teaching Struggling Students in Mathematics, Too Many Grades of D or F, Bill Hanlon provides examples and recommends highly effective and practical instructional and assessment strategies that classroom teachers can immediately implement and that school administrators can readily observe. These high yield strategies build on accepted practices and directly address the needs of struggling students. His no nonsense, common sense approach assists classroom teachers in organizing their instruction by connecting preparation and instruction to student notes, homework, test preparation, and assessments so students study more effectively. This results in increased student performance. Bill also emphasizes the importance of student-teacher relationships and the implementing a success-on-success model. His emphasis on making students more comfortable in their knowledge, understanding, and application of math is demonstrated repeatedly with examples of how to introduce new concepts and skills by linking them to previously learned math and outside experiences. These linkages allow teachers another opportunity to review and reinforce skills or address student deficiencies. Teaching Struggling Students in Mathematics will help your student succeed in math.
Author: Edward C. Nolan Publisher: Solution Tree Press ISBN: 1942496494 Category : Education Languages : en Pages : 231
Book Description
Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index
Author: Brent Davis Publisher: Routledge ISBN: 1136520910 Category : Education Languages : en Pages : 352
Book Description
This book presents an approach to the teaching of mathematics that departs radically from conventional prescription-oriented and management-based methods. It brings together recent developments in such diverse fields as continental and pragmatist philosophy, enactivist thought, critical discourses, cognitive theory, evolution, ecology, and mathematics, and challenges the assumptions that permeate much of mathematics teaching. The discussion focuses on the language used to frame the role of the teacher and is developed around the commonsense distinctions drawn between thought and action, subject and object, individual and collective, fact and fiction, teacher and student, and classroom tasks and real life. The discussion also addresses the question of how mathematics teaching can be reformed to better suit current academic and social climates. Making use of the theoretical framework of enactivism, the book explores the subject through an account of a middle school teacher's appreciation and understanding of her role. Teaching mathematics, as both the report of this teacher's experience and the discussion make clear, demands an embracing of ambiguity, uncertainty, complexity, and moral responsibility. Courses for Adoption Education: Mathematics for Elementary Teachers, Methods for Teaching Elementary Schools, Methods for Teaching Secondary Schools, Curriculum Studies, Critical Pedagogy Special Features *Elucidates the importance and relationship between theory and practice. Employs reflective teaching techniques to focus students on their own learning, knowledge, and understanding of mathematics.Details a collaborative venture that traces the development of new thinking and insights about math teaching and learning. *A fine blending of theory with practice.
Author: Barbara Oakley, PhD Publisher: Penguin ISBN: 0593329740 Category : Education Languages : en Pages : 337
Book Description
Top 10 Pick for Learning Ladders’ Best Books for Educators Summer 2021 A groundbreaking guide to improve teaching based on the latest research in neuroscience, from the bestselling author of A Mind for Numbers. Neuroscientists and cognitive scientists have made enormous strides in understanding the brain and how we learn, but little of that insight has filtered down to the way teachers teach. Uncommon Sense Teaching applies this research to the classroom for teachers, parents, and anyone interested in improving education. Topics include: • keeping students motivated and engaged, especially with online learning • helping students remember information long-term, so it isn't immediately forgotten after a test • how to teach inclusively in a diverse classroom where students have a wide range of abilities Drawing on research findings as well as the authors' combined decades of experience in the classroom, Uncommon Sense Teaching equips readers with the tools to enhance their teaching, whether they're seasoned professionals or parents trying to offer extra support for their children's education.
Author: Juli K. Dixon Publisher: Solution Tree Press ISBN: 1942496435 Category : Education Languages : en Pages : 386
Book Description
Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals
Author: David H. Allsopp Publisher: Brookes Publishing Company ISBN: Category : Education Languages : en Pages : 316
Book Description
Making mathematics concepts understandable is a challenge for any teacher--a challenge that's more complex when a classroom includes students with learning difficulties. With this highly practical resource, educators will have just what they need to teach mathematics with confidence: research-based strategies that really work with students who have learning disabilities, ADHD, or mild cognitive disabilities. This urgently needed guidebook helps teachers Understand why students struggle.Teachers will discover how the common learning characteristics of students with learning difficulties create barriers to understanding mathematics. Review the Big Ideas. Are teachers focusing on the right things? A helpful primer on major NCTM-endorsed mathematical concepts and processes helps them be sure. Directly address students' learning barriers. With the lesson plans, practical strategies, photocopiable information-gathering forms, and online strategies in action, teachers will have concrete ways to help students grasp mathematical concepts, improve their proficiency, and generalize knowledge in multiple contexts. Check their own strengths and needs. Educators will reflect critically on their current practices with a thought-provoking questionnaire. With this timely book--filled with invaluable ideas and strategies adaptable for grades K-12--educators will know just what to teach and how to teach it to students with learning difficulties.
Author: Caleb Gattegno
Author: Caleb Gattegno
Author: Ethan D. Bolker
Author: Kevin K. Kumashiro
Author: Bill Hanlon
Author: Edward C. Nolan
Author: Brent Davis
Author: Barbara Oakley, PhD
Author: Juli K. Dixon
Author: David H. Allsopp
Author: Caleb Gattegno